EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 535-545

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We study the following nonlinear Dirichlet boundary value problem:where Ω is a bounded domain in RN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × R) is a function satisfying for all x ∈ Ω. Under appropriate assumptions, we prove the existence of infinitely many solutions when g(x, t) is not odd in t.
DOI : 10.1017/S0017089512000146
Mots-clés : 35J20, 35J25, 35J60
ZHONG, X.; ZOU, W. EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 535-545. doi: 10.1017/S0017089512000146
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